A booster rocket returns to Earth with its speed decreasing exponentially as it approaches the surface. A space agency has recorded some of the data on the final approach.

a) Determine an exponential model of the form s(t)=a(b)^t for the rocket's speed. Round the value of b to the nearest hundredth.

b) the rocket can safely land in the ocean if its velocity is less than 15 feet per second. Tp the nearest tenth of a second, how long will this take? Explain how you found your answer.